Huxley: Difference between revisions

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-{{URWTC}}
+'''Huxley''' is the 2.3.11.13-[[subgroup]] [[regular temperament|temperament]] where [[512/507]] and [[1352/1331]] vanish. It is an [[extension]] of [[lovecraft]], the 4 & 13 2.11.13 subgroup temperament, to include [[prime harmonic|prime]] [[3/1|3]].
-'''Huxley''' is name given by [[Deja Igliashon]] to the 4p&13p 2.3.11.13 subgroup temperament where [[512/507]] and [[1352/1331]] vanish. It is an extension of [[Lovecraft]] temperament, the 4p&13p 2.11.13 subgroup temperament, to include prime 3. It uses this mapping:
+Its POTE generator is 282.4139 cents, almost exactly 4 steps of [[17edo]] (282.3529 cents). As such, 17edo may be considered the ideal equal temperament in which to use it. Other edos that support it are {{EDOs| 4, 13, 21, 30, 38e, and 47b.}}
-{| class="wikitable"
-!2
+It has [[moment of symmetry|moments of symmetry]] at 4, 9, 13, and 17 notes, and bears a tangential melodic relationship to [[orwell]] in that its 9-note mos has [[4L 5s|4 large and 5 small]] steps.
-!3
-!11
+It was discovered and named by [[Deja Igliashon]].
-!13
+See [[No-fives subgroup temperaments #Huxley]] for technical data.
+== Interval chain ==
+In the following table, odd harmonics 1–13 are '''bolded'''.
+{| class="wikitable center-1 right-2"
+! # !! Cents* !! Approximate Ratios
+|-
+| 0 || 0.0 || '''1/1'''
+|-
+| 1 || 282.7 || 13/11
+|-
+| 2 || 565.5 || '''11/8'''
+|-
+| 3 || 848.2 || '''13/8'''
+|-
+| 4 || 1130.9 || 64/33
 |-
-|1
+| 5 || 213.6 || 44/39
-|3
-|3
-|3
 |-
-|0
+| 6 || 496.4 || '''4/3'''
-| -6
+|-
-|2
+| 7 || 779.1 || 52/33
-|3
+|-
+| 8 || 1061.8 || 11/6
+|-
+| 9 || 144.5 || 13/12
 |}
-Its POTE generator is 282.4139 cents, almost exactly 4 steps of [[17edo]] (282.3529 cents). As such, 17edo may be considered the ideal equal temperament in which to use it. Other EDOs that support it are {{EDOs|4p, 13p, 21p, 30p, 34p, 38e, 47b, and 51e.}}
+<nowiki>*</nowiki> in 2.3.11.13-subgroup [[CTE]] tuning
-It has [[Moment of symmetry|moments of symmetry]] at 4, 9, 13, and 17 notes, and bears a tangential melodic relationship to [[Orwell]] temperament in that its 9-note MOS has 4 large and 5 small steps.
-[[Category:Temperaments]]
+[[Category:Huxley| ]] <!-- main article -->
+[[Category:Rank-2 temperaments]]
+[[Category:Subgroup temperaments]]